Journal of Shanghai University（Natural Science Edition） ›› 2011, Vol. 17 ›› Issue (3): 275-279.doi: doi:10.3969/j.issn.1007-2861.2011.03.012
• Mathematics.Physics and Chemistry • Previous Articles Next Articles
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Abstract: The two-dimensional Poisson equation with homogeneous Dirichlet boundary condition by the Legendre tau method is considered. The optimal rate of convergence in H1norm of Legendre tau method for the two-dimensional Poisson equation with homogeneous Dirichlet boundary condition is obtained by taking test functions with the generalized Jacobi weight. The optimal convergent rate in Lnorm is proved by the duality argument. Numerical examples are given to verify the analysis results.
Key words: Legendre tau method, optimal error estimate, two-dimensional Poisson equation
CLC Number:
O 241.82
SHEN Ting-Ting, MA He-Beng. Error Estimate of Legendre Tau Method for Two-Dimensional Poisson Equation[J]. Journal of Shanghai University（Natural Science Edition）, 2011, 17(3): 275-279.
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URL: https://www.journal.shu.edu.cn/EN/doi:10.3969/j.issn.1007-2861.2011.03.012
https://www.journal.shu.edu.cn/EN/Y2011/V17/I3/275
